Online GCD Calculator is useful to find the GCD of 678, 150, 405, 317 quickly. Get the easiest ways to solve the greatest common divisor of 678, 150, 405, 317 i.e 1 in different methods as follows.
Given Input numbers are 678, 150, 405, 317
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
GCD of numbers is the greatest common divisor
So, the GCD (678, 150, 405, 317) = 1.
Given numbers are 678, 150, 405, 317
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 317 are 317
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 150, 405, 317
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 150) = 16950
GCD(678, 150) = ( 678 x 150 ) / 16950
= 678 / 150
= 678
Step2:
LCM(6, 405) = 810
GCD(6, 405) = ( 6 x 405 ) / 810
= 6 / 405
= 6
Step3:
LCM(3, 317) = 951
GCD(3, 317) = ( 3 x 317 ) / 951
= 3 / 317
= 3
So, Greatest Common Divisor of 678, 150, 405, 317 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 150, 405, 317
The greatest common divisor of numbers 678, 150, 405, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 150, 405, 317 is 1.
1. What is the GCD of 678, 150, 405, 317?
GCD of given numbers 678, 150, 405, 317 is 1
2. How to calculate the greatest common divisor of 678, 150, 405, 317?
We can find the highest common divisor of 678, 150, 405, 317 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 678, 150, 405, 317 i.e 1.
3. How can I use the GCD of 678, 150, 405, 317Calculator?
Out the numbers 678, 150, 405, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.